Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings.

*(English)*Zbl 1410.11003
Contemporary Mathematics 722. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4212-5/pbk; 978-1-4704-5104-2/ebook). vi, 175 p. (2019).

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This volume contains the proceedings of the 16th international conference, held from June 19–23, 2017.

The papers are original research articles covering a large range of topics, including weight enumerators for codes, function field analogs of the Brauer-Siegel theorem, the computation of cohomological invariants of curves, the trace distributions of algebraic groups, and applications of the computation of zeta functions of curves. Despite the varied topics, the papers share a common thread: the beautiful interplay between abstract theory and explicit results.

The articles of this volume will be reviewed individually. For the preceding conference see [Zbl 1364.11004].

Indexed articles:

Achter, Jeffrey D.; Howe, Everett W., Hasse-Witt and Cartier-Manin matrices: a warning and a request, 1-18 [Zbl 1439.11145]

Hindry, Marc, Analogues of Brauer-Siegel theorem in arithmetic geometry, 19-41 [Zbl 1443.11237]

Javanpeykar, Ariyan; Voight, John, The Belyi degree of a curve is computable, 43-57 [Zbl 1443.11122]

Kaplan, Nathan, Weight enumerators of Reed-Muller codes from cubic curves and their duals, 59-77 [Zbl 1429.94088]

Lachaud, Gilles, The distribution of the trace in the compact group of type \(\mathbf{G}_2\), 79-103 [Zbl 1443.11158]

Malmskog, Beth; Pries, Rachel; Weir, Colin, The de Rham cohomology of the Suzuki curves, 105-119 [Zbl 1443.11105]

Pazuki, Fabien, Decompositions in local heights, 121-140 [Zbl 07117894]

Poonen, Bjorn, Using zeta functions to factor polynomials over finite fields, 141-147 [Zbl 07117895]

Sijsling, Jeroen, Canonical models of arithmetic \((1;\infty)\)-curves, 149-165 [Zbl 1423.14190]

Sutherland, Andrew V.; Voloch, JosĂ© Felipe, Maps between curves and arithmetic obstructions, 167-175 [Zbl 07117897]

##### MSC:

11-06 | Proceedings, conferences, collections, etc. pertaining to number theory |

11Gxx | Arithmetic algebraic geometry (Diophantine geometry) |

11T71 | Algebraic coding theory; cryptography (number-theoretic aspects) |

14H40 | Jacobians, Prym varieties |

14G40 | Arithmetic varieties and schemes; Arakelov theory; heights |

00B25 | Proceedings of conferences of miscellaneous specific interest |

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\textit{Y. Aubry} (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19--23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1410.11003)

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